The existence of Gibbs processes with a pair potential
was shown under varying assumptions. We refer here to
the seminal work [1]}, [2]} (treating the case \({\mathbb {X}}={\mathbb {R}}^d\) ),
to [3]} (working on a complete separable
metric space and assuming \(U\ge 0\) ) and
to [4]} (working on \({\mathbb {R}}^d\)  but allowing for
infinite range pair potentials which may take negative values).

